What is e^{-x}*(-e^{-x})x ?

The solution to e^{-x}*(-e^{-x})x is -x/(e^{2x)}

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simplify e^{-x}*(-e^{-x})x

simplify

e^{- x} \cdot (- e^{- x}) x

- \frac{x}{e ^{2 x}}

Solution steps

e^{- x} (- e^{- x}) x

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{x}} x (- e^{- x})

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{x}} e^{- x} x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot e ^{- x} x}{e ^{x}}

Multiply:

1 \cdot e^{- x} = e^{- x}

= - \frac{e ^{- x} x}{e ^{x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{e ^{- x}}{e ^{x}} = e^{- x - x} = e^{- 2 x}

= - \frac{x}{e ^{2 x}}

R (o, t, x) oo t [x^{2} + 3 x - 6 = 0, x]

[(2^{2})^{\frac{1}{2}}]^{\frac{1}{3}} \cdot [(2^{3})^{\frac{1}{3}}]^{\frac{1}{2}}

(\frac{2}{3} p^{4} y^{3}) (y^{4} s^{5}) (6 p^{2} s^{3})

12566.37 \cdot 7 \cdot 1 0^{- 3}

(x (x^{2} + 3)^{\frac{1}{2}})^{2}